348975349776 has 120 divisors (see below), whose sum is σ = 988556549760. Its totient is φ = 114912096768.

The previous prime is 348975349771. The next prime is 348975349813. The reversal of 348975349776 is 677943579843.

348975349776 is a `hidden beast` number, since 3 + 4 + 89 + 7 + 53 + 497 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (348975349771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6037525 + ... + 6095051.

It is an arithmetic number, because the mean of its divisors is an integer number (8237971248).

Almost surely, 2^348975349776 is an apocalyptic number.

348975349776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348975349776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494278274880).

348975349776 is an abundant number, since it is smaller than the sum of its proper divisors (639581199984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

348975349776 is a wasteful number, since it uses less digits than its factorization.

348975349776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58053 (or 58044 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 72.

The spelling of 348975349776 in words is "three hundred forty-eight billion, nine hundred seventy-five million, three hundred forty-nine thousand, seven hundred seventy-six".